A complex current wave is given by $i=5+5\sin \left(100\omega t\right)A,$ Its average value over one time period is given as

Over one time period ‘T’ average value of  $5\sin \left(100\omega t\right)$ is zero

average over one time period ‘T’ for

$i=5+5\sin \left(100\omega t\right)$

$i_{av}=5A$